Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622f |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-17950875844608 = -1 · 218 · 39 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6792,298304] |
[a1,a2,a3,a4,a6] |
Generators |
[80:472:1] |
Generators of the group modulo torsion |
j |
-35930671875/18612224 |
j-invariant |
L |
3.8984006264875 |
L(r)(E,1)/r! |
Ω |
0.64252884230781 |
Real period |
R |
1.5168193122519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622bk1 62622a2 |
Quadratic twists by: -3 -7 |